Q 5 - Precalculus Enhanced with Graphing Utilities

Question

Graph the equation: $x^2+y^2=9$

Step-by-Step Solution

Answer

A circle centered at the origin with radius 3.

Step 1: Identify the Equation

The equation \(x^2 + y^2 = 9\) represents a circle centered at the origin with radius \(r = \sqrt{9} = 3\).

Step 2: Key Points for Graphing

The circle passes through the points \((3, 0)\), \((-3, 0)\), \((0, 3)\), and \((0, -3)\).

Step 3: Describe the Graph

Draw a circle centered at the origin with radius 3, passing through all four intercept points.